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Finding the Fourth Proportional to 2,804.80, 3,842.59 and 2,699.70

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Solution

The fourth proportional to 2,804.80, 3,842.59 and 2,699.70 is: 3,698.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.80 : 3,842.59 = 2,699.70 : x
  2. Step 2: Convert to fraction form
    2,804.80/3,842.59 = 2,699.70/x
  3. Step 3: Cross multiply
    2,804.80x = 3,842.59 × 2,699.70
  4. Step 4: Simplify right side
    2,804.80x = 10,373,840.22
  5. Step 5: Solve for x
    x = 10,373,840.22/2,804.80
  6. Step 6: Final answer
    x = 3,698.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.